Princeton Review Gre Premium Edition 2020 Practice Test 1 Explanation
Tin y'all ace these GRE math practice questions? Get-go honing your skills with some GRE math exercise and get a preview of what you can expect on examination solar day.
We pulled these GRE quantitative practice questions from our volume GRE Premium Prep and from our GRE prep course materials. Each sample question includes an explanation, so y'all tin can see how to crevice it!
Note almost calculators: On the GRE you'll exist given an on-screen calculator with the five basic operations: improver, subtraction, multiplication, partition and square root, plus a decimal office and positive/negative characteristic. Don't utilize anything fancier when yous tackle this GRE math practise!
GRE Math Practise Table of Contents
- Quantitative GRE Questions
- Multiple-Pick GRE Questions
- Numeric Entry GRE Questions
Practice for GRE Quantitative Comparing Questions
Quantitative comparison questions inquire you to compare Quantity A to Quantity B. Your job is to compare the 2 quantities and make up one's mind which of the following describes the human relationship:
- Quantity A is greater.
- Quantity B is greater.
- The ii quantities are equal.
- The relationship cannot be adamant from the data given.
one. The average (arithmetics mean) high temperature for x days is 70 degrees. The add-on of 1 day with a high temperature of 75 degrees increases the average to 71 degrees.
| Quantity A | Quantity B |
|---|---|
| ten | five |
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.
Answer: (B) Quantity B is greater. If the boilerplate high temperature for 10 days is 70 degrees, then the sum of those x loftier temperatures is 70x. The sum of the high temperatures, including the additional solar day that has a temperature of 75 degrees is, therefore, 70x + 75. Next, apply the average formula to discover the value of x:
In this formula, 71 is the average, 70x + 75 is the total, and at that place are x + 1 days. Substituting this information into the formula gives:
To solve, cross-multiply to become 71x + 71 = 70x + 75. Adjacent, simplify to discover that x = 4. Therefore, Quantity B is greater. The right answer is (B).
two.
a and b are integers.
a 2 = b 3
| Quantity A | Quantity B |
|---|---|
| a | b |
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The human relationship cannot be determined from the information given.
Answer: (D) The human relationship cannot be adamant from the information given. Attempt different integers for a and b that satisfy the equation a 2 = b 3 such every bit a = viii and b = 3. These numbers satisfy the equation equally 8 2 = 4 3 = 64. In this case, Quantity A is greater. Because Quantity B is non always greater nor are the ii quantities always equal, choices (B) and (C) tin can be eliminated. Adjacent, try some dissimilar numbers. When choosing a second ready of numbers, attempt something less mutual such as making a = b = ane. Again, these numbers satisfy the equation provided in the problem. In this instance, even so, the quantities are equal. Because Quantity A is not always greater, choice (A) tin now be eliminated. The right answer is (D).
[+] See the ReplyPractice for GRE Multiple-Choice Questions
For question 3, select i answer from the list of 5 respond choices.
3. A certain pet store sells but dogs and cats. In March, the store sold twice every bit many dogs equally cats. In April, the store sold twice the number of dogs that it sold in March, and iii times the number of cats that it sold in March. If the total number of pets the shop sold in March and April combined was 500, how many dogs did the store sell in March?
(A) 80
(B) 100
(C) 120
(D) 160
(E) 180
Answer: (B) 100 Plug In the Answers, starting with the centre choice. If 120 dogs were sold in March, then sixty cats were sold that month. In April, 240 dogs were sold, forth with 180 cats. The total number of dogs and cats sold during those two months is 600, which is too large, so eliminate (C), (D), and (Due east). Try (B). If there were 100 dogs sold in March, then l cats were sold; in Apr, 200 dogs were sold along with 150 cats. The correct answer is (B) because 100 + l + 200 + 150 = 500.
[+] See the Answer4.
▵ ABC has an area of 108 cm ii . If both ten and y are integers, which of the following could be the value of x ?
Indicate all such values.
(A) 4(B) five
(C) half-dozen
(D) 8
(E) 9
Answer: (A), (C), (D) and (E) Plug the information given into the formula for the area of a triangle to learn more about the human relationship between 10 and y: 
The production of 10 and y is 216, and so x needs to exist a factor of 216. The merely number in the answer choices that is non a factor of 216 is 5. The remaining choices are possible values of x.
Practise for GRE Numeric Entry Questions
Some questions on the GRE won't have reply choices, and you'll accept to generate your own reply.
5. Each calendar month, Renaldo earns a committee of x.5% of his total sales for the month, plus a salary of $2,500. If Renaldo earns $three,025 in a sure month, what were his total sales?
Respond: v,000
If Renaldo earned $3,025, then his earnings from the commission on his sales are $3,025 - $2,500 = $525. So, $525 is 10.5% of his sales. Set up up an equation to notice the full sales:
Solving this equation, x = 5,000.
[+] See the Answer
half-dozen. At a recent dog show, there were five finalists. One of the finalists was awarded "All-time in Evidence" and another finalist was awarded "Honorable Mention." In how many different means could the 2 awards exist given out?
Respond: 20 In this trouble order matters. Any of the 5 finalists could be awarded "Best in Show." There are four choices left for "Honorable Mention," because a different canis familiaris must be chosen. Therefore, the total number of possibilities is v 10 4, or 20.
[+] Encounter the Answer
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